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10918868688 = 24310713127
BaseRepresentation
bin10100010101101000…
…01011011011010000
31001011221210000000000
422022310023123100
5134330212244223
65003245130000
7534402565260
oct121264133320
931157700000
1010918868688
1146a3464722
122148859900
13105018c360
147581d17a0
1543d8b5543
hex28ad0b6d0

10918868688 has 440 divisors, whose sum is σ = 39363258368. Its totient is φ = 2857026816.

The previous prime is 10918868659. The next prime is 10918868743. The reversal of 10918868688 is 88686881901.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 85975281 + ... + 85975407.

Almost surely, 210918868688 is an apocalyptic number.

10918868688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10918868688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681629184).

10918868688 is an abundant number, since it is smaller than the sum of its proper divisors (28444389680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10918868688 is an equidigital number, since it uses as much as digits as its factorization.

10918868688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 10918868688 in words is "ten billion, nine hundred eighteen million, eight hundred sixty-eight thousand, six hundred eighty-eight".